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Why is the integral of 1/sqrt(1-x^2)dx = sin^{-1}(x)?

This is an example of an integral that uses trigonometric substitutions, which is quite a common theme for A-level further maths questions. Firstly, notice the denominator is quite unpleasant, so to make thi...
CB
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When should you use the past historic (passé simple)?

You can use the passé simple in any formal piece of writing, but as it is quite a literary way of writing, it's generally more appropriate to pieces of writing in which you might be narrating a story. It is ...
CW
Answered by Carys W. French tutor
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How successfully does Catullus portray the pathos of Ariadne? (25)

Catullus successfully creates pathos for Ariadne in poem 64 by referring first to her utter surprise of Theseus’ departure. He then describes her total despair as she realises what she has sacrificed for him...
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Answered by Abigail G. Latin tutor
3297 Views

What do arteries veins and capillaries do?

Arteries, veins and capillaries are the three types of blood vessels in our bodies. We need blood vessels to carry our blood around the body. The importance of blood Blood has to be circulated around the bod...
CM
Answered by Charlotte M. Biology tutor
33450 Views

What is the difference between simple and compound interest?

Simple interest means the amount of money increases by the same amount each year, compound interest means the amount of money increases by the same proportion each year. For example if you deposited £100 in ...
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Answered by James S. Maths tutor
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